CAT (QA) PYQs

John borrowed Rs.$2,10,000$ from a bank at an interest rate of $10 \%$ per annum, compounded annually. The loan was repaid in two equal installments, the first after one year and the second after another year. The first installment was interest of one year plus part of the principal amount, while the second was the rest of the principal amount plus due interest thereon. Then each installment, in Rs., is

Nitu has an initial capital of Rs. $20,000$. Out of this, she invests Rs. $8,000$ at $5.5\%$ in bank $A$, Rs. $5,000$ at $5.6\%$ in bank $B$ and the remaining amount at $x \%$ in bank $C$ , each rate being simple interest per annum. Her combined annual interest income from these investments is equal to $5 \%$ of the initial capital. If she had invested her entire initial capital in back $C$ alone, then her annual interest income, in rupees, would have been

Aman invests Rs $4000$ in a bank at a certain rate of interest, compounded annually. If the ratio of the value of the investment after $3$ years to the value of the investment after $5$ years is $25: 36$, then the minimum number of years required for the value of the investment to exceed Rs $20000$ is